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The Representation and Computational Procedures for the Generalized Inverse of an Operator A in Hilbert Spaces

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4612-3930-7openalex-snapshot
{2}-Inverses and Their Statistical Application
inferredcites →https://doi.org/10.1007/978-981-13-0146-9openalex-snapshot
Generalized Inverses: Theory and Computations
inferredcites →https://doi.org/10.1007/bf01385696openalex-snapshot
Convergence of Newton-like methods for singular operator equations using outer inverses
inferredcites →https://doi.org/10.1016/0378-4754(86)90031-5openalex-snapshot
Spectral approximation of linear operators
inferredcites →https://doi.org/10.1016/c2013-0-11227-5openalex-snapshot
Generalized Inverses and Applications
inferredcites →https://doi.org/10.1016/s0024-3795(02)00297-5openalex-snapshot
A weighted Drazin inverse and applications
inferredcites →https://doi.org/10.1016/s0024-3795(98)00008-1openalex-snapshot
A characterization and representation of the generalized inverse A(2)T,S and its applications
inferredcites →https://doi.org/10.1016/s0096-3003(02)00100-5openalex-snapshot
The representation and approximation of the Drazin inverse of a linear operator in Hilbert space
inferredcites →https://doi.org/10.1016/s0377-0427(00)00710-xopenalex-snapshot
On the perturbation and subproper splittings for the generalized inverse AT,S(2) of rectangular matrix A
inferredcites →https://doi.org/10.1016/s0377-0427(03)00375-3openalex-snapshot
Condition number related with generalized inverse AT,S(2) and constrained linear systems
inferredcites →https://doi.org/10.1023/a:1013712329516openalex-snapshot
A new Type of Matrix Splitting and its Applications
inferredcites →https://doi.org/10.1023/a:1013792207970openalex-snapshot
On the Generalized Drazin Inverse and Generalized Resolvent
inferredcites →https://doi.org/10.1023/b:amhu.0000034359.98588.7bopenalex-snapshot
The representation and approximations of outer generalized inverses
inferredcites →https://doi.org/10.1080/00207160108805075openalex-snapshot
(T,S) splitting methods for computing the generalized inverse and rectangular systems∗
inferredcites →https://doi.org/10.1080/01630568708816235openalex-snapshot
Inner, outer, and generalized inverses in banach and hilbert spaces
inferredcites →https://doi.org/10.1080/01630569608816717openalex-snapshot
Outer inverses and multi body system simulation
inferredcites →https://doi.org/10.1080/03081080500079510openalex-snapshot
The generalized inverse over commutative rings
inferredcites →https://doi.org/10.1080/03081080701871665openalex-snapshot
Determinantal representation of the generalized inverse \bi A_{T,S}^{(2)} over integral domains and its applications
inferredcites →https://doi.org/10.1080/03081088408817573openalex-snapshot
Linear and Multilinear Algebra
inferredcites →https://doi.org/10.1081/agb-200066112openalex-snapshot
Outer Generalized Inverses in Rings
inferredcites →https://doi.org/10.1090/s0002-9939-98-04218-xopenalex-snapshot
Common operator properties of the linear operators 𝑅𝑆 and 𝑆𝑅
inferredcites →https://doi.org/10.1137/1.9781611970678openalex-snapshot
Spectral Approximation of Linear Operators
inferredcites →https://doi.org/10.1137/s1052623493246288openalex-snapshot
Convergence of Newton's Method for Singular Smooth and Nonsmooth Equations Using Adaptive Outer Inverses
inferredcites →https://doi.org/10.5486/pmd.2001.2466openalex-snapshot
Splittings of operators and generalized inverses

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.5281/zenodo.1072965openalex-extracted
An Iterative Algorithm To Compute The Generalized Inverse A(2) T,S Under The Restricted Inner Product
inferred← citeshttps://doi.org/10.1002/nla.763openalex-snapshot
Note on the iterative methods for computing the generalized inverse over Banach spaces
inferred← citeshttps://doi.org/10.1007/s00009-017-0910-1openalex-snapshot
The (b, c)-Inverse in Rings and in the Banach Context
inferred← citeshttps://doi.org/10.1007/s12215-025-01231-7openalex-snapshot
One sided (B, C)-polarity in Banach space operators
inferred← citeshttps://doi.org/10.1016/j.amc.2009.04.007openalex-snapshot
The iterative methods for computing the generalized inverse of the bounded linear operator between Banach spaces
inferred← citeshttps://doi.org/10.1016/j.amc.2009.10.038openalex-snapshot
A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix
inferred← citeshttps://doi.org/10.1016/j.amc.2010.04.047openalex-snapshot
Integral representation of the W-weighted Drazin inverse for Hilbert space operators
inferred← citeshttps://doi.org/10.1016/j.amc.2011.08.046openalex-snapshot
Modified SMS method for computing outer inverses of Toeplitz matrices
inferred← citeshttps://doi.org/10.1016/j.amc.2014.06.010openalex-snapshot
A new representation for AT,S(2,3)
inferred← citeshttps://doi.org/10.1016/j.cam.2010.01.005openalex-snapshot
Further results on iterative methods for computing generalized inverses
inferred← citeshttps://doi.org/10.1016/j.laa.2012.08.004openalex-snapshot
A family of iterative methods for computing Moore–Penrose inverse of a matrix
inferred← citeshttps://doi.org/10.1016/j.laa.2016.03.035openalex-snapshot
Neural network approach to computing outer inverses based on the full rank representation
inferred← citeshttps://doi.org/10.1080/01630563.2022.2051186openalex-snapshot
Weighted G-Outer Inverse of Banach Spaces Operators
inferred← citeshttps://doi.org/10.1080/03081087.2011.598154openalex-snapshot
Integral and limit representations of the outer inverse in Banach space
inferred← citeshttps://doi.org/10.1080/03081087.2018.1441798openalex-snapshot
Further results on the (b, c)-inverse, the outer inverse AT,S(2) and the Moore–Penrose inverse in the Banach context
inferred← citeshttps://doi.org/10.1155/2013/356105openalex-snapshot
Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces
inferred← citeshttps://doi.org/10.1162/neco_a_00821openalex-snapshot
Recurrent Neural Network for Computing Outer Inverse
inferred← citeshttps://doi.org/10.2298/fil1305851copenalex-snapshot
The characterizations and representations for the generalized inverses with prescribed idempotents in Banach algebras
inferred← citeshttps://doi.org/10.2989/16073606.2020.1836688openalex-snapshot
Weighted inner inverse for rectangular matrices
inferred← citeshttps://doi.org/10.48550/arxiv.1710.10065openalex-snapshot
Further results on the $(b, c)$-inverse, the outer inverse $A^{(2)}_{T, S}$ and the Moore-Penrose inverse in the Banach context
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